Let T be the region in the first octant bounded by the parabolic cylinder z = 25 - x? and the plane x + 2y = 4. For a solid Q occupying the region T with density 8(x, y, z) = 3x², set up iterated integral(s) in the form dx dz dy (that is, using the order of integration dx dz dy) for ly (the moment of inertia of Q about the y-axis).
Let T be the region in the first octant bounded by the parabolic cylinder z = 25 - x? and the plane x + 2y = 4. For a solid Q occupying the region T with density 8(x, y, z) = 3x², set up iterated integral(s) in the form dx dz dy (that is, using the order of integration dx dz dy) for ly (the moment of inertia of Q about the y-axis).
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 11E
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